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Finding the Third Proportional to 51,078 and 79,180

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Solution

The third proportional to 51,078 and 79,180 is: 122,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,078 : 79,180 = 79,180 : x
  2. Step 2: Convert to fraction form
    51,078/79,180 = 79,180/x
  3. Step 3: Cross multiply
    51,078x = 79,180 × 79,180
  4. Step 4: Simplify right side
    51,078x = 6,269,472,400
  5. Step 5: Solve for x
    x = 6,269,472,400/51,078
  6. Step 6: Final answer
    x = 122,743.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.